Authors: Blagojević, Pavle 
Karasev, Roman
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: The Schwarz genus of the Stiefel manifold
Journal: Topology and its Applications
Volume: 160
Issue: 18
First page: 2340
Last page: 2350
Issue Date: 1-Dec-2013
Rank: M22
ISSN: 0166-8641
DOI: 10.1016/j.topol.2013.07.028
Abstract: 
In this paper we compute: the Schwarz genus of the Stiefel manifold Vk(Rn) with respect to the action of the Weyl group Wk:=(Z/2)k⋊Sk, and the Lusternik-Schnirelmann category of the quotient space Vk(Rn)/Wk. Furthermore, these results are used in estimating the number of critically outscribed parallelotopes around a strictly convex body, and Birkhoff-James orthogonal bases of a normed finite dimensional vector space.
Keywords: Inscribing and outscribing | Lusternik-Schnirelmann category | Schwarz genus
Publisher: Elsevier
Project: European Unionʼs Seventh Framework Programme (FP7/2007–2013)/ERC, Grant agreement No. 247029-SDModels
Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security 
ERC Advanced Research, Grant No. 267195 (DISCONV)
Presidentʼs of Russian Federation, grant MD-352.2012.1
Russian government, project 11.G34.31.0053

Show full item record

SCOPUSTM   
Citations

2
checked on Oct 2, 2022

Page view(s)

16
checked on Oct 3, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.